Question

A cylindrical roller is a length 2.5m and diameter 84cm.Find the number of revolutions it has to make to cover an area of 330020sq.m

Answer 1

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$n \times \: circumference = 33002000cm^2 \\ \\ n \times 2\pi \: rh = 33002000cm^2 \\ \\ n = \frac{33002000cm^2}{2 \times \pi \: rh} \\ \\ \: \: \: \: = \frac{16501000cm^2 \times 7cm}{22cm \times 42cm \times 250cm} \\ \\ \: \: \: \: = \frac{16501000cm^2}{22cm \times 6cm \times 250cm} \\ \\ \: \: \: \: = \frac{1650100cm^2}{22cm \times 6 cm\times 25cm} = 500$